Dynamical projective curvature in gravitation-Reference-Cited by-同舟云学术

Dynamical projective curvature in gravitation

Published:2018-12-30 Issue:36 Volume:33 Page:1850223
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Brensinger Samuel¹,Rodgers Vincent G. J.²^ORCID

Affiliation:

1. Department of Mathematics, The University of Iowa, Iowa City, IA 52242, USA

2. Department of Physics and Astronomy, The University of Iowa, Iowa City, IA 52242, USA

Abstract

By using a projective connection over the space of two-dimensional affine connections, we are able to show that the metric interaction of Polyakov two-dimensional gravity with a coadjoint element arises naturally through the projective Ricci tensor. Through the curvature invariants of Thomas and Whitehead, we are able to define an action that could describe dynamics to the projective connection. We discuss implications of the projective connection in higher dimensions as related to gravitation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X18502238

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